Answer:
<em>Tick:</em>
<em>- the coefficient of the second term is -5</em>
<em>- the coefficient of the fourth term is -10</em>
Explanation:
The coefficient of an expression is simply the number placed before and multiplying the variable (e.g. 10x ; the coefficient is 10, the variable is x)
Hope this makes sense. Feel free to inquire further if need be!
- profparis
Probability of getting the correct answer in the first question is 1/4
probability of getting the correct answer in the second question is 1/4
probability of getting the correct answer in the second question is 1/4 the probability that he gets one question wrong is 3/4
which is 1/4*1/4*1/4*3/4=3/256
for the four questions because he may get the first answer correct and my be the second question wrong, or the the third wrong and the other correct or the first wrong and others correct we should take care of all this by
multiplying 3/256*4=12/256
=0.046875
in three decimal places we have 0.047
Answer:
Step-by-step explanation:
f(x) = x^2 + 4x + 4
f(x + a) = (x + a)^2 + 4(x + a) + 4
f(x + a) = x^2 + 2ax + a^2 + 4x + 4a + 4 Now combine like terms and use the distributive property.
f(x + a) = x^2 + (2a + 4)x + a^2 + 4a + 4
We are told that f(x + a) = x^2 - 6x + 9
So that means that
2a + 4 = - 6 Subtract 4 from both sides.
2a = - 6 - 4
2a = - 10 Divide by 2
a = - 10/2
a = - 5.
But you are not finished. You have to check the last part.
a^2 + 4x + 4 = 9
(a + 2)^2 = 9
Take the square root of both sides
sqrt(a+ 2)^2 = +/- 3
a+2 = 3
a = 1.
Does this work or is it extraneous? It is extraneous because it will not work for 2(a) + 4 = - 6
You get 6 = - 6 which is not correct. But you did give the second best answer.
a + 2 = - 3
a = - 3 - 2
a = - 5 which agrees with your previous answer.
===========
This is an extremely hard or tricky or sneaky problem. It takes a lot of conniving to get the right answer and 1 is not a left field answer. It just does not happen to be correct.
Answer and Step-by-step explanation:
You got everything correct so far except for #4.
4. Yes, it is 1. But it would be in months.
So you would put:
1 month = x
12 months = 1 year.
Since the population increases by 1.5 times a <em>month.</em>
For question number 3.
The equation should be:
<- Function
<- Function when x is 12 months (1 year)
(Put those both the same way I put it.)
It gives you the equation to work with, you just have to plug in the values.
1.5 is in the parenthesis because it needs to be the one that is raised by an exponent.
100 is the initial population, so it stays on the outside.
x is the exponent
